Inequality Math Solution Set

X 9 ge 9 and 2x 9 ge 5.

Inequality math solution set. In mathematics a solution set is the set of values that satisfy a given set of equations or inequalities. There are several different notations used to represent different kinds of inequalities. High school math solutions inequalities calculator compound inequalities in the previous post we talked about solving linear inequalities. Represent the solution set of inequality x 4 8 where x is a whole number.

Subtracting 4 from both sides of given inequality x 4. Solutions and solution sets. The solutions of an inequality can be represented on a number line which is shown in the following examples. Solution set 1 2.

6 x 3. In mathematics an inequality is a relation which makes a non equal comparison between two numbers or other mathematical expressions. Solve the following compound inequality. Select the correct choice below and if necessary fill in the answer blank to co.

The feasible region of a constrained optimization problem is the solution set of the constraints. 6 x 3. Write the solution set in interval notation. For example for a set of polynomials over a ring the solution set is the subset of on which the polynomials all vanish evaluate to 0 formally.

Here is a set of practice problems to accompany the solutions and solution sets section of the solving equations and inequalities chapter of the notes for paul dawkins algebra course at lamar university. Because we are multiplying by a negative number the inequalities change direction. We will start off this chapter with a fairly short section with some basic terminology that we use on a fairly regular basis in solving equations and inequalities. It is used most often to compare two numbers on the number line by their size.

Now multiply each part by 1. Hence the solution set of the above absolute inequality is 13 6 u 7 6. In the same manner the solution to a system of linear inequalities is the intersection of the half planes and perhaps lines that are solutions to each individual linear inequality. In today s post we will focus on compound inequalities.

Since x is a whole number solution. In other words x y 5 has a solution set and 2x y 4 has a solution set. Now divide each part by 2 a positive number so again the inequalities don t change.